22 citations · 63 across the 7 of their papers we have counts for
9 papers · 1 filter
Taut foliations from double-diamond replacements
Charles Delman, Rachel Roberts
A 3-manifold is foliar if it supports a codimension-one co-oriented taut foliation. Suppose is an oriented 3-manifold with connected boundary a torus, and suppose contains…
Persistently foliar composite knots
Charles Delman, Rachel Roberts
A knot in is persistently foliar if, for each non-trivial boundary slope, there is a co-oriented taut foliation meeting the boundary of the knot complement transversely i…
Taut foliations
William H. Kazez, Rachel Roberts
We describe notions of tautness that arise in the study of foliations, or smoother foliations, and in geometry. We give examples to show that these notions are diff…
Foliation Theory
William H. Kazez, Rachel Roberts
Transverse one dimensional foliations play an important role in the study of codimension one foliations. In \cite{KR2}, the authors introduced the notion of flow box decomposition…
Approximations of foliations
William H. Kazez, Rachel Roberts
Suppose that is a transversely oriented, codimension one foliation of a connected, closed, oriented 3-manifold. Suppose also that has continuous tangent p…
Approximating -foliations
William H. Kazez, Rachel Roberts
We extend the Eliashberg-Thurston theorem on approximations of taut oriented -foliations of 3-manifolds by both positive and negative contact structures to a large class of ta…
Taut foliations in surface bundles with multiple boundary components
Tejas Kalelkar, Rachel Roberts
Let be a fibered 3-manifold with multiple boundary components. We show that the fiber structure of transforms to closely related transversely oriented taut foliations reali…
Taut foliations in knot complements
Tao Li, Rachel Roberts
We show that for any nontrivial knot in , there is an open interval containing zero such that a Dehn surgery on any slope in this interval yields a 3-manifold with taut foliat…
Fractional Dehn twists in knot theory and contact topology
William H. Kazez, Rachel Roberts
Fractional Dehn twists give a measure of the difference between the relative isotopy class of a homeomorphism of a bordered surface and the Thurston representative of its free isot…